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Finding the Fourth Proportional to 56,902.32, 78,527.34 and 31,756.68

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Solution

The fourth proportional to 56,902.32, 78,527.34 and 31,756.68 is: 43,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,902.32 : 78,527.34 = 31,756.68 : x
  2. Step 2: Convert to fraction form
    56,902.32/78,527.34 = 31,756.68/x
  3. Step 3: Cross multiply
    56,902.32x = 78,527.34 × 31,756.68
  4. Step 4: Simplify right side
    56,902.32x = 2,493,767,607.63
  5. Step 5: Solve for x
    x = 2,493,767,607.63/56,902.32
  6. Step 6: Final answer
    x = 43,825.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.